Asynchronously compensated synchronization algorithm for multiple harmonic oscillators with communication delay
Cheng‐Lin Liu, Lihua Xie, Shuai Liu, Fei Liu · International Journal of Robust and Nonlinear Control · 2016
Summary Synchronization problem is investigated for multiple harmonic oscillators with identical communication delay in this paper. We propose a new distributed control algorithm in asynchronously compensated form and a corresponding reduced‐order observer‐based distributed control algorithm. By using frequency‐domain analysis, delay‐dependent and delay‐independent convergence conditions are obtained for our proposed algorithms under leader‐following and leaderless coordination control structures, respectively, and the results can be directly extended to the observer‐based algorithm based on the separation principle. Numerical examples illustrate the validity of the theoretical findings. Copyright © 2016 John Wiley & Sons, Ltd.